The number of integral values of a for w...

The number of integral values of a for which the system of linear equations ` x sin theta -2 y cos theta -az=0`, `x+2y+z=0,-x+y+z=0` may have non-trivial solutions, then

A

The given system will have infinite solutions for a=2

B

The number of integer values of a is 3 for the system to have nontrivial solutions.

C

For a=1 there exists θ for which the system will have infinite solutions

D

For a=3 there exists θ for which the system will have unique solutions

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The correct Answer is:

B, C, D

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